Lifting Machines – Reversibility and Efficiency A machine lifts a load of 1000 N by an effort of 80 N. If the velocity ratio (VR) is 20, classify the machine.
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AReversible (efficiency > 50%)
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BNon-reversible (efficiency ≤ 50%)
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CIdeal (efficiency = 100%)
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DSelf-acting only on lowering
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EIndeterminate with given data
Answer
Correct Answer: Reversible (efficiency > 50%)
Explanation
Introduction / Context: In lifting machines, reversibility indicates whether the machine will move backward under the load when effort is removed. Efficiency helps determine this behavior.
Given Data / Assumptions:
- Load W = 1000 N.
- Effort P = 80 N.
- Velocity ratio VR = 20.
- Mechanical advantage MA = W / P.
Concept / Approach: Efficiency η = MA / VR. A practical rule: if η > 50%, the machine is reversible; if η ≤ 50%, it is non-reversible (self-locking). Ideal machines have η = 100%.
Step-by-Step Solution: Compute MA = W / P = 1000 / 80 = 12.5. Compute η = MA / VR = 12.5 / 20 = 0.625 = 62.5%. Since η > 50%, the machine is reversible.
Verification / Alternative check: If the efficiency is this high, frictional losses are not sufficient to prevent back-driving under load when effort is removed.
Why Other Options Are Wrong: Non-reversible: incorrect because η > 50%. Ideal: would require η = 100% (not the case). 'Self-acting only on lowering' and 'Indeterminate': not supported by the data.
Common Pitfalls: Confusing mechanical advantage with velocity ratio; remember η = MA / VR.
Final Answer: Reversible (efficiency > 50%)